Where do dictionaries imply the use of て as 'present perfect/past' and '...ing'?

Question

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the new version of

Question:

1）What definition in Dictionary implies the '...ing' function of て,( as in 魚を食べている.)?
2) What definition in Dictionary implies the 'present perfect' function of て,( as in お前はもう死んでいる.)?

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The old version of

Question:

Can 'verbABCている expressing the PAST'

be CONSIDERED as 'adverbialABC+いる'

and be UNDERSTOOD as 'is/exists+ABCly/in a state of ABC'?

You can follow the examples to understand my question well:

1)て verb as adverbial:

映画を見て食べる.

I eat watching the movie.

the adverbial is 見て and the verb is 食べる.

2)て-form for past events/states:

お前はもう死んでいる.

You already (have) died.

My proposition is:

Can we consider 死んで an adverbial in 2) of the verb いる and understand the sentence as:

お前はもう1(死んで)2(いる).

You already 1(dyingly/in a state of dying/in a state of having died)2(exist/are).

and only consider it a particular case of the general rule 1) where the 'past sense' is contained/hidden in 死んで being an adverbial?

Edit

Here's where I started thinking about this idea: て form and adverbial meaning
Answer
_{Yes it's adverbial in relation to the verb (predicate), but you can't say it's simply an adverb (you can't use a te-form verb alone as an adverb).}

Answer 1

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Remark:

_{I strrugled a bit to understand what ① and ⑧ speak about. And i'm not sure if my choice of the definitions was correct, but my effort lead me to this answer.}

Any additional explanations or corrections/improvements concerning my answer are appreciated.

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Answer:

て is a conjunctive and has several definitions according to the dictionary https://www.weblio.jp/content/%E3%81%A6

Concerning the pattern 1)映画を見て食べる. I think it corresponds to the definition ① in 一（ 接助 ）in the dictionary.

Concerning the pattern 2)お前はもう死んでいる. I think it corresponds to definition ⑧ in 一（ 接助 ）in the dictionary.